If
$$ B_1 = a_1 \cdot x \cdot a_2^c $$
$$ B_2 =x \cdot a_3^c $$
Does $a_3 \in \mathbb{R}$ always exist s.t. $B_1 = B_2 \forall a_1, a_2, x, c \in \mathbb{R}$? And if yes, how to prove it?
2026-04-03 06:55:07.1775199307
Does $a_3 \in \mathbb{R}$ always exist s.t. $a_1 \cdot x \cdot a_2^c = x \cdot a_3^c \forall a_1, a_2, x, c \in \mathbb{R}$?
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